966399336 has 192 divisors, whose sum is σ = 3170119680. Its totient is φ = 270060480.

The previous prime is 966399319. The next prime is 966399347. The reversal of 966399336 is 633993669.

966399336 = T₂₈₈ + T₂₈₉ + ... + T₁₇₉₈.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 638821 + ... + 640331.

It is an arithmetic number, because the mean of its divisors is an integer number (16511040).

Almost surely, 2^966399336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 966399336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1585059840).

966399336 is an abundant number, since it is smaller than the sum of its proper divisors (2203720344).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

966399336 is a wasteful number, since it uses less digits than its factorization.

966399336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1586 (or 1570 counting only the distinct ones).

The product of its digits is 4251528, while the sum is 54.

The square root of 966399336 is about 31086.9640846449. The cubic root of 966399336 is about 988.6719382412.

The spelling of 966399336 in words is "nine hundred sixty-six million, three hundred ninety-nine thousand, three hundred thirty-six".